48058745960160 has 3456 divisors, whose sum is σ = 206698638706560. Its totient is φ = 10443395432448.

The previous prime is 48058745960131. The next prime is 48058745960209. The reversal of 48058745960160 is 6106954785084.

48058745960160 is a `hidden beast` number, since 4 + 8 + 0 + 587 + 45 + 9 + 6 + 0 + 1 + 6 + 0 = 666.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 575 ways as a sum of consecutive naturals, for example, 440905926186 + ... + 440905926294.

It is an arithmetic number, because the mean of its divisors is an integer number (59808633885).

Almost surely, 2^{48058745960160} is an apocalyptic number.

48058745960160 is a gapful number since it is divisible by the number (40) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 48058745960160, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (103349319353280).

48058745960160 is an abundant number, since it is smaller than the sum of its proper divisors (158639892746400).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

48058745960160 is a wasteful number, since it uses less digits than its factorization.

48058745960160 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 312 (or 269 counting only the distinct ones).

The product of its (nonzero) digits is 58060800, while the sum is 63.

The spelling of 48058745960160 in words is "forty-eight trillion, fifty-eight billion, seven hundred forty-five million, nine hundred sixty thousand, one hundred sixty".